"The move is subject to the 28-year-old left-back agreeing personal terms."

Chelsea boss Jose Mourinho has been desperate to secure the 28-year-old's signature after releasing veteran left-back Ashley Cole, who has since joined Roma on a free transfer, at the end of last season.

The naturally right-sided Cesar Azpilicueta was preferred over Cole at left-back by Mourinho during the last campaign.

But the arrival of Luis could see Azpilicueta shifted over to the right-back slot, currently occupied by Branislav Ivanovic.

Luis made 48 appearances during the 2013/14 season as Atletico won their first La Liga title in 18 years as well as reach the Champions League final only to be defeated by city rivals Real Madrid.

The signing of Luis would be Mourinho's fourth of the summer following the arrivals of Costa, Cesc Fabregas and Mario Pasalic.

Mourinho is also expected to tie up a deal to re-sign Portuguese midfielder Tiago - who left Chelsea in 2005 - from Atletico.